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Finding the Third Proportional to 96,286 and 144,726

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Solution

The third proportional to 96,286 and 144,726 is: 217,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,286 : 144,726 = 144,726 : x
  2. Step 2: Convert to fraction form
    96,286/144,726 = 144,726/x
  3. Step 3: Cross multiply
    96,286x = 144,726 × 144,726
  4. Step 4: Simplify right side
    96,286x = 20,945,615,076
  5. Step 5: Solve for x
    x = 20,945,615,076/96,286
  6. Step 6: Final answer
    x = 217,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.